Search: id:A144040
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%I A144040
%S A144040 0,1,1,9,53,401,2967,23659,192615,1613687,13769538,119419761,1049154071,
%T A144040 9318828138,83541286988,754920397795,6869170162829,62884110339333,
%U A144040 578768613062948,5352307127138701,49708821972158231,463445557084360740
%N A144040 Shifts left when Euler transform applied 8 times.
%H A144040 N. J. A. Sloane, <a href="transforms.txt">Transforms</a>
%p A144040 k:=8: with (numtheory): etr:= proc(p) local b; b:=proc(n) option remember; 
               local d,j; if n=0 then 1 else add (add (d*p(d), d=divisors(j)) *b(n-j), 
               j=1..n)/n fi end end: a:='a': b[1]:=etr(a): for t from 2 to k do 
               b[t]:= etr(b[t-1]) od: a:= n-> `if`(n<2,n,b[k](n-1)): seq (a(n), 
               n=0..30);
%Y A144040 8th column of A144042.
%Y A144040 Sequence in context: A038761 A003698 A001688 this_sequence A052108 A093846 
               A152994
%Y A144040 Adjacent sequences: A144037 A144038 A144039 this_sequence A144041 A144042 
               A144043
%K A144040 eigen,nonn
%O A144040 0,4
%A A144040 Alois P. Heinz (heinz(AT)hs-heilbronn.de), Sep 07 2008

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